Parametric wall panel visualization

Hello everyone,
I want to create a wall panel image with a waveform shaped with parametric design. Plywood pieces should be positioned vertically and cut with a random sine curve function model. You can see an example in the picture.

During the 50 commands I tried in this way, I was only able to get very close to this image once, in all the others, it either applied the waveform directly to the panel (like swirl in photoshop) or bend the plywood pieces, contrary to the technique of the material, to give the waveform.

Does anyone have any ideas about prompts that can provide a solution to this?

or how should I approach the subject?

I also tried to visualize some math-based functions to get surface model - to maybe understand the case from roots - but can not make it because of my math level 🙂 

It will be valuable to understand how such mathematical model-based visual requests are perceived by artificial intelligence. At the very least, it is important to know if I am in the right place.

I really appreciate any help you can provide.